Hi Spilopbob,
Thanks for posting in Apple Support Communities.
From our understanding, you're an Apple Music subscriber. When you subscribe to Apple Music, you do not own the music. You can add the music to your music library for as long as you have an active Apple Music subscription. You can download the music to listen to offline when you do not have an internet connection.
However, you do not own the music to listen to without an Apple Music subscription. To listen to Apple Music on a different device, simply sign in to Apple Music with your login for the active subscription and you will be able to listen to the music you have added to your music library and what's available in the Apple Music catalog.
Listen to music and more in the Apple Music app
Regards.